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Finding the Fourth Proportional to 1,698.58, 2,547.78 and 723.97

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Solution

The fourth proportional to 1,698.58, 2,547.78 and 723.97 is: 1,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.58 : 2,547.78 = 723.97 : x
  2. Step 2: Convert to fraction form
    1,698.58/2,547.78 = 723.97/x
  3. Step 3: Cross multiply
    1,698.58x = 2,547.78 × 723.97
  4. Step 4: Simplify right side
    1,698.58x = 1,844,516.29
  5. Step 5: Solve for x
    x = 1,844,516.29/1,698.58
  6. Step 6: Final answer
    x = 1,085.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.